Connections between quaternary and Boolean bent functions

Research output: Contribution to journalArticlepeer-review

Abstract

Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper connections between classical Boolean bent functions, generalized Boolean bent functions and quaternary bent functions are studied. We also study Gray images of bent functions and notions of generalized nonlinearity for functions that are relevant to generalized linear cryptanalysis.

Original languageEnglish
Article number20
Pages (from-to)561-578
Number of pages18
JournalSiberian Electronic Mathematical Reports
Volume18
Issue number1
DOIs
Publication statusPublished - 2021

Keywords

  • bent functions
  • Boolean functions
  • generalized Boolean functions
  • Gray map
  • linear cryptanalysis
  • nonlinearity
  • quaternary functions
  • semi bent functions
  • ℤ-linear codes

OECD FOS+WOS

  • 1.01 MATHEMATICS

Fingerprint

Dive into the research topics of 'Connections between quaternary and Boolean bent functions'. Together they form a unique fingerprint.

Cite this